Express the Sum Using Summation Notation $$\frac { 3 } { 4 } + \frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \ldots + \frac { 17 } { 18 }$$

question 59

Multiple Choice

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation.
- $$\frac { 3 } { 4 } + \frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \ldots + \frac { 17 } { 18 }$$

• A) \(\sum _ { k = 3 } ^ { 17 } \frac { k + 1 } { k }\)
• B) \(\sum _ { k = 4 } ^ { 17 } \frac { \mathrm { k } } { \mathrm { k } + 1 }\)
• C) \(\sum _ { k = 4 } ^ { 17 } \frac { \mathrm { k } + 1 } { \mathrm { k } }\)
• D) \(\sum _ { \mathrm { k } = 3 } ^ { 17 } \frac { \mathrm { k } } { \mathrm { k } + 1 }\)

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Definitions:

Standard Gibbs Free Energy

A thermodynamic property used to predict the direction of chemical reactions and the extent to which reactions proceed.

Enthalpy

A thermodynamic property representing the total heat content of a system, used to quantify the heat changes that occur in chemical reactions at constant pressure.

Entropy

A measure of the disorder or randomness in a system, often related to the number of available states a system can occupy.

% Conversion

The percentage indicating how much of the reactants have been transformed into products in a chemical reaction.